Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling

Details Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling

2009-01-20

arxiv.org/abs/0901.3069v1

Nonlinear Sciences

Chaotic Dynamics

4 pages

Scientific paper

We demonstrate on a representative example of a planar hybrid system with digital sampling a sudden transition from a stable limit cycle to the onset of chaotic dynamics. We show that the scaling law in the size of the attractor is proportional to the digital sampling time $\tau$ for sufficiently small values of $\tau.$ Numerical and analytical results are given. The scaling law changes to a nonlinear law for large values of the sampling time $\tau.$ This phenomenon is explained by the change in the boundedness of the attractor.

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